基于Chebyshev逼近的分数阶谱微分算子矩阵  

Spectral Operator Matrix based on Chebyshev Approximation

作　　者：张光辉[1] ZHANG Guanghui(School of Mathematics and Statistics,Suzhou College,Suzhou 234000,China)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《吉林化工学院学报》2021年第3期87-90,共4页Journal of Jilin Institute of Chemical Technology

基　　金：安徽省精品线下开放课程(2018kfk136);安徽省高校联盟教研项目(2020jyxm0650);安徽省教学示范课数值分析与实验(2020szxy2579)。

摘　　要：基于Chebyshev逼近,导出了整数s阶谱微分算子矩阵,利用Chebyshev多项式、Chebyshev多项式导数的三项递推关系式,给出了一个计算分数α阶谱微分算子矩阵的递推格式.数值算例验证了格式的精度和效果.Based on Chebyshev approximation,an integer-order spectral operator differential matrix is derive,and a recurrence scheme for computing fractional spectral differential operator matrix is also obtained by using the three terms recurrence of Chebyshev polynomials and the derivatives of Chebyshev polynomials.Numerical examples are given to demonstrate the accuracy and effectiveness of the scheme.

关 键 词：Chebyshev逼近 分数阶 谱微分矩阵 

分 类 号：O174.41[理学—数学]